More Constructions for Turán's (3,4)-Conjecture

Andrew Frohmader

Abstract

For Turán's (3, 4)-conjecture, in the case of $n = 3k+1$ vertices, ${1 \over 2}6^{k-1}$ non-isomorphic hypergraphs are constructed that attain the conjecture. In the case of $n = 3k+2$ vertices, $6^{k-1}$ non-isomorphic hypergraphs are constructed that attain the conjecture.